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Finding the Fourth Proportional to 261,090, 360,304.56 and 147,920.40

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Solution

The fourth proportional to 261,090, 360,304.56 and 147,920.40 is: 204,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,090 : 360,304.56 = 147,920.40 : x
  2. Step 2: Convert to fraction form
    261,090/360,304.56 = 147,920.40/x
  3. Step 3: Cross multiply
    261,090x = 360,304.56 × 147,920.40
  4. Step 4: Simplify right side
    261,090x = 53,296,394,637.02
  5. Step 5: Solve for x
    x = 53,296,394,637.02/261,090
  6. Step 6: Final answer
    x = 204,130.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.